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    <title>On the Modelisation of a Cognitive Process: A Viability Approach</title>
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    <abstract>A dynamical description of an abstract cognitive system which should be closer to some cognitive considerations than pure automata or networks of automata is proposed. The system operates &quot;sensory-motor&quot; states, whose components are the state of the environment, its variation and the cerebral motor activity. 

The main addition is the introduction of a &quot;conceptual control&quot; that is postulated in order to define a &quot;learning process&quot;, which is a set-valued map associating conceptual controls with sensory-motor states. 

A learning process must be consistent with a &apos;recognition mechanism&quot; which determines at each instant the set of possible metaphors, linking the perception of the environment and its variations with conceptual controls, as well as with &quot;viability constraints&quot; describing the consumption of the cognitive system, associating with each state of the environment the set of viable motor activities. 

It also has to be consistent with an &apos;action law&quot;, describing the evolution of the state of the environment in terms of the cerebral motor activity, and a &quot;motor activity&quot; law, describing the evolution of the motor activity in terms of the perception of the environment and the conceptual controls. It suggests also that the evolution of a learning process obeys an &quot;inertia principle&quot; which allows to select specific choices of learning procedures. 

This paper justifies this approach, which can used to prove mathematically the existence of a largest learning process and of specific &quot;heavy evolutions&quot; obeying an &quot;inertia principle&quot;.</abstract>
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